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2 years ago

Write each ratio in the simplest form. (Note: remember the units of measurement, they must be the same!)

Mathematics

1 answer:

Natali [406]2 years ago

3 0

Answer:

a. 5:2

Step-by-step explanation:

1 ft = 12 in

30:12

Divide by 6

30÷6=5

12÷6=2

So, the answer is 5:2

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What is bigger 1/3 or 3/5

raketka [301]

$Method\ 1:$

$\dfrac{1}{3}=\dfrac{1\cdot5}{3\cdot5}=\dfrac{5}{15}\\\\\dfrac{3}{5}=\dfrac{3\cdot3}{5\cdot3}=\dfrac{9}{15}\\\\\dfrac{3}{15} < \dfrac{9}{15}\ therefore\ \dfrac{3}{5}\ is\ bigger$

$Method\ 2:$

$\dfrac{1}{3} < \dfrac{1}{2}=\dfrac{1.5}{3}\\\\\dfrac{3}{5} > \dfrac{1}{2}=\dfrac{2.5}{5}\\\\therefore\ \dfrac{3}{5}\ is\ bigger$

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2 years ago

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GalinKa [24]

Answer:

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Step-by-step explanation:

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2 years ago

What one was c because all them look alike but different solutions

ElenaW [278]

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3 years ago

What is the area of a book that has a length of 5 inches and a width of 10 inches? how do i find the answer?

wlad13 [49]

I hope this helps you

Area=length.width

Area=5.10

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2 years ago

Help please!<br><br> | 2x^2 + 5x + 3 | > 0<br> solve the inequality

vovikov84 [41]

Factorize the quadratic.

$2x^2 + 5x + 3 = (2x + 3) (x + 1)$

We have $|ab| = |a||b|$ , so

$|2x^2 + 5x + 3| = |2x + 3| |x + 1| > 0$

Now, both $|2x+3|\ge0$ and $|x+1|\ge0$ (since the absolute value of any number cannot be negative), so we just need to worry about when the left side is exactly zero. This happens for

$(2x + 3) (x + 1) = 0 \implies 2x+3 = 0\text{ or }x+1 = 0 \\\\ \implies x = -\dfrac32 \text{ or } x = -1$

So the solution to the inequality is the set

$\left\{x \in \Bbb R \mid x\neq-\dfrac32 \text{ and } x\neq-1\right\}$

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2 years ago